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The simulation of complex stochastic network dynamics arising, for instance, from models of coupled biomolecular processes remains computationally challenging. Often, the necessity to scan a models' dynamics over a large parameter space…

定量方法 · 定量生物学 2013-03-14 Tiago Ramalho , Marco Selig , Ulrich Gerland , Torsten A. Enßlin

Biomolecular networks underpin emerging technologies in synthetic biology-from robust biomanufacturing and metabolic engineering to smart therapeutics and cell-based diagnostics-and also provide a mechanistic language for understanding…

定量方法 · 定量生物学 2026-03-02 Maurice Filo , Nicolò Rossi , Zhou Fang , Mustafa Khammash

Automation is becoming ubiquitous in all laboratory activities, leading towards precisely defined and codified laboratory protocols. However, the integration between laboratory protocols and mathematical models is still lacking. Models…

定量方法 · 定量生物学 2021-11-30 Luca Cardelli , Marta Kwiatkowska , Luca Laurenti

Many real-world complex systems are well represented as multilayer networks; predicting interactions in those systems is one of the most pressing problems in predictive network science. To address this challenge, we introduce two stochastic…

物理与社会 · 物理学 2019-04-03 Marc Tarres-Deulofeu , Antonia Godoy-Lorite , Roger Guimera , Marta Sales-Pardo

The formation and regulation of macromolecular complexes provides the backbone of most cellular processes, including gene regulation and signal transduction. The inherent complexity of assembling macromolecular structures makes current…

分子网络 · 定量生物学 2007-05-23 Leonor Saiz , Jose M. G. Vilar

Quantum Bayesian networks provide a mathematical formalism to describe causal relations, to analyse correlations, and to predict the probabilities of measurement outcomes, in systems involving both classical and quantum data. They…

计算机科学中的逻辑 · 计算机科学 2026-05-27 Rémi Di Guardia , Thomas Ehrhard , Claudia Faggian

Autonomous systems require the management of several model views to assure properties such as safety and security among others. A crucial issue in autonomous systems design assurance is the notion of emergent behavior; we cannot use their…

计算机科学中的逻辑 · 计算机科学 2022-03-31 Georgios Bakirtzis , Ufuk Topcu

Biological machines like molecular motors and enzymes operate in dynamic cycles representable as stochastic flows on networks. Current stochastic dynamics describes such flows on fixed networks. Here, we develop a scalable approach to…

统计力学 · 物理学 2026-03-02 Ying-Jen Yang , Ken A. Dill

Chemical reaction systems with a low to moderate number of molecules are typically modeled as discrete jump Markov processes. These systems are oftentimes simulated with methods that produce statistically exact sample paths such as the…

分子网络 · 定量生物学 2015-05-13 David F. Anderson

How smart can a micron-sized bag of chemicals be? How can an artificial or real cell make inferences about its environment? From which kinds of probability distributions can chemical reaction networks sample? We begin tackling these…

The structure of a bipartite interaction network can be described by providing a clustering for each of the two types of nodes. Such clusterings are outputted by fitting a Latent Block Model (LBM) on an observed network that comes from a…

统计方法学 · 统计学 2025-03-19 Emre Anakok , Pierre Barbillon , Colin Fontaine , Elisa Thebault

Spectral densities encode essential information about system-environment interactions in open-quantum systems, playing a pivotal role in shaping the system's dynamics. In this work, we leverage machine learning techniques to reconstruct key…

量子物理 · 物理学 2025-01-14 Jessica Barr , Alessandro Ferraro , Mauro Paternostro , Giorgio Zicari

Reaction-diffusion processes are the foundational model for a diverse range of complex systems, ranging from biochemical reactions to social agent-based phenomena. The underlying dynamics of these systems occur at the individual…

统计力学 · 物理学 2025-10-15 Mauricio J. del Razo , Margarita Kostré

Biochemical processes in cells are governed by complex networks of many chemical species interacting stochastically in diverse ways and on different time scales. Constructing microscopically accurate models of such networks is often…

定量方法 · 定量生物学 2021-06-09 Catalina Rivera , David Hofmann , Ilya Nemenman

Biological networks have evolved to be highly functional within uncertain environments while remaining extremely adaptable. One of the main contributors to the robustness and evolvability of biological networks is believed to be their…

分子网络 · 定量生物学 2008-02-14 Arend Hintze , Christoph Adami

This report proposes a novel framework for a rigorous robustness analysis of stochastic biochemical systems. The technique is based on probabilistic model checking. We adapt the general definition of robustness introduced by Kitano to the…

数值分析 · 计算机科学 2013-10-18 Lubos Brim , Milan Ceska , Sven Drazan , David Safranek

The compositionality and sparsity of high-throughput sequencing data poses a challenge for regression and classification. However, in microbiome research in particular, conditional modeling is an essential tool to investigate relationships…

机器学习 · 统计学 2023-07-19 Shimeng Huang , Elisabeth Ailer , Niki Kilbertus , Niklas Pfister

We show that certain non-linear dynamical systems with non-linearities in the form of Hill functions, can be approximated by piecewise linear dynamical systems. The resulting piecewise systems have closed form solutions that can be used to…

分子网络 · 定量生物学 2012-01-11 Ajit Kumar , Krešimir Josić

Stochastic network calculus is a tool for computing error bounds on the performance of queueing systems. However, deriving accurate bounds for networks consisting of several queues or subject to non-independent traffic inputs is…

网络与互联网体系结构 · 计算机科学 2018-10-12 Anne Bouillard , Céline Comte , Élie De Panafieu , Fabien Mathieu

Causal relationships play a fundamental role in understanding the world around us. The ability to identify and understand cause-effect relationships is critical to making informed decisions, predicting outcomes, and developing effective…